The inverse function f⁻¹(x) is a reflection of the function f(x) across the line y=x. The corresponding tangent line will go through point (8, 2) and have slope 1/f'(2) = 1/4 at that point. That is, ...

(f⁻¹)'(8) = 1/f'(f⁻¹(8)) = 1/f'(2) = 1/4

5 0

3 years ago

write the equation of a line that is perpendicular to the given line and that passes through given point -x+5y=14;(-5,-2) show y

Brums [2.3K]

For perpendicular lines, m2 = -1/m1.

For line -x + 5y = 14 => 5y = x + 14 => y = 1/5 x + 14/5 => slope = 1/5

m2 = -1 / (1/5) = -5

Required equation is y - (-2) = -5(x - (-5))
y + 2 = -5(x + 5)
5x + y = -25 - 2
5x + y = -27

8 0

4 years ago

We roll a pair dice 10,000 times. Estimate the probability that the number of times we get snake eyes (two ones) is between 280

Natali5045456 [20]

Answer:

0.3573 = 35.7%

Step-by-step explanation:

We roll a pair of dice 10,000 times so the mean and standard deviation is,

μ = 10000/36 =277.7 σ = $\sqrt{10000*\frac{35}{36^{2} } } =16.4$